I have to agree with a lot of what most people are saying. My gynecologist was apprehensive about giving me a prescription for the pill because my blood pressure is "borderline" (i.e. higher than it should be for someone my age) and I have a history of migraines. However, I persisted, so they gave me a month-by-month prescription so that I'd have to go in every month to make sure my blood pressure wasn't getting higher.
Regardless, synthetic hormones can cause health problems such as blood clotting and if she doesn't want to use hormones, you should not try to push the issue. If using condoms only frightens you, I would suggest contraceptive foam, diaphragm or other barrier method, or perhaps you could abstain from sex (even with condom) during her most fertile times. That's a little risky because womens' cycles aren't clockwork (as many surprise parents will tell you

).
I hope to find out what happens with this when you guys decide on an option that's right for you.